针对一类非线性时滞不确定的T-S模糊系统,在充分利用输入变量的双交叠模糊分划性质的基础上,提出了一个新的判定系统H_∞稳定性的充分条件,并同时提出了控制器的设计方案。通过求解线性矩阵不等式(LMI)得到满足要求的控制器参数,使系统具有良好的稳态精度和动态性能。仿真的结果可以表明:利用输入变量的双交叠性质,可以较容易地在各个最大交叠规则组内找到一个公共的正定解矩阵,这样就大大减少了以往求解多个LMI的难度和局限性。 For a class of TS fuzzy systems with uncertain nonlinear delay, this paper proposes a new sufficient condition to determine the stability of H_∞ system based on the double overlapping fuzzy divisions of input variables. At the same time, Controller design. By solving the linear matrix inequality (LMI) to get the controller parameters to meet the requirements of the system has good steady-state accuracy and dynamic performance. The simulation results show that using the double overlap property of input variables, it is easy to find a common positive definite solution matrix in each maximal overlapping rule set, which greatly reduces the difficulty and limitation of solving multiple LMIs in the past .